Internal core profile for a turbine nozzle airfoil

ABSTRACT

An internal core profile for a turbine nozzle airfoil of a gas turbine is provided. The turbine nozzle may include an airfoil core having an uncoated nominal profile substantially in accordance with Cartesian coordinate values of X, Y, and Z set forth in Table 1, wherein the X, Y, and Z coordinates are distances in inches measured in a 
     Cartesian coordinate system, the corresponding X and Y coordinates, when connected by a smooth continuous arc, define one of a plurality of airfoil core profile sections at each Z distance, and the plurality of airfoil core profile sections, when joined together by smooth continuous arcs, define an airfoil core shape.

TECHNICAL FIELD

This application relates to airfoils for a gas turbine and more particularly to an internal core profile of an airfoil for a first stage turbine nozzle of a gas turbine.

BACKGROUND

Turbines are machines that obtain rotational force by impulsive or reaction force using a flow of a compressible fluid such as steam or gas, and include a steam turbine using steam, a gas turbine using hot combustion gas, and so on.

The gas turbine includes a compressor, a combustor, and a turbine. The compressor includes an air inlet into which air is introduced, and a plurality of compressor vanes and a plurality of compressor blades which are alternately arranged in a compressor housing. The introduced air is compressed by the compressor vanes and the compressor blades while passing through an inside of the compressor.

The combustor supplies fuel to air compressed by the compressor and ignites a fuel-air mixture with an igniter to produce high-temperature and high-pressure combustion gas.

The turbine includes a plurality of turbine vanes and a plurality of turbine blades which are alternately arranged in a turbine housing. In addition, a rotor is arranged to pass through centers of the compressor, the combustor, the turbine, and an exhaust chamber.

The rotor is rotatably supported at both ends thereof by bearings. A plurality of disks are fixed to the rotor, and a plurality of blades are connected to each of the disks while a drive shaft of a generator is connected to an end of the exhaust chamber.

In a gas turbine, many system requirements should be met at each stage of the gas turbine to meet design goals. The design goals may include overall improved efficiency and airfoil loading capability. For example, an internal core profile of turbine nozzle airfoil should achieve thermal and mechanical operating requirements for that particular stage.

There is thus a desire for an improved airfoil core shape for a turbine nozzle for use in a turbine and the like. Further, internal cooling requirements should be optimized, necessitating a unique internal core airfoil profile to meet stage performance requirements enabling the turbine to operate in a safe, efficient and smooth manner.

SUMMARY

Aspects of one or more exemplary embodiments provide a unique internal core profile for an airfoil of a first stage turbine nozzle for a gas turbine capable of enhancing aeromechanics and reducing thermal and mechanical stresses.

Additional aspects will be set forth in part in the description which follows and, in part, will become apparent from the description, or may be learned by practice of the exemplary embodiments.

According to an aspect of an exemplary embodiment, there is provided a turbine nozzle including: an airfoil core having an uncoated nominal profile substantially in accordance with Cartesian coordinate values of X, Y, and Z set forth in Table 1. Here, the X, Y, and Z coordinates are distances in inches measured in a Cartesian coordinate system, the corresponding X and Y coordinates, when connected by a smooth continuous arc, define one of a plurality of airfoil core profile sections at each Z distance, and the plurality of airfoil core profile sections, when joined together by smooth continuous arcs, define an airfoil core shape.

The airfoil core shape may lie within an envelope of +/−0.120 inches measured in a direction normal to any of the plurality of airfoil core profile sections.

The airfoil core may include a pressure side, a suction side, and a partition extending between the pressure side and the suction side to define a cooling path along which cooling fluid flows.

The airfoil core shape may include a core shape for a first stage turbine nozzle.

The turbine nozzle may further include a coating applied to the airfoil core shape, the coating having a thickness of less than or equal to 0.010 inches.

According to an aspect of another exemplary embodiment, there is provided a turbine including: a turbine nozzle extending from a platform to an end wall and having an airfoil-shaped cross section having a leading edge, a trailing edge, and a pressure side and a suction side each of which extends from the leading edge to the trailing edge, wherein the turbine nozzle may include an airfoil core having an uncoated nominal profile substantially in accordance with Cartesian coordinate values of X, Y, and Z set forth in Table 1. Here, the X, Y, and Z coordinates are distances in inches measured in a Cartesian coordinate system, the corresponding X and Y coordinates, when connected by a smooth continuous arc, define one of a plurality of airfoil core profile sections at each Z distance, and the plurality of airfoil core profile sections, when joined together by smooth continuous arcs, define an airfoil core shape.

According to an aspect of another exemplary embodiment, there is provided a gas turbine including: a compressor configured to compress air; a combustor configured to mix compressed air supplied from the compressor with fuel for combustion; and a turbine including a plurality of turbine nozzles and a plurality of turbine blades rotated by combustion gas to generate power, wherein each of the turbine nozzles extending from a platform to an end wall and having an airfoil-shaped cross section having a leading edge, a trailing edge, and a pressure side and a suction side each of which extends from the leading edge to the trailing edge, and wherein the turbine nozzle may include an airfoil core having an uncoated nominal profile substantially in accordance with Cartesian coordinate values of X, Y, and Z set forth in Table 1. Here, the X, Y, and Z coordinates are distances in inches measured in a Cartesian coordinate system, the corresponding X and Y coordinates, when connected by a smooth continuous arc, define one of a plurality of airfoil core profile sections at each Z distance, and the plurality of airfoil core profile sections, when joined together by smooth continuous arcs, define an airfoil core shape.

BRIEF DESCRIPTION OF THE DRAWINGS

The above and other aspects will become more apparent from the following description of the exemplary embodiments with reference to the accompanying drawings, in which:

FIG. 1 is a partially cutaway perspective view illustrating a gas turbine according to an exemplary embodiment;

FIG. 2 is a cross-sectional view illustrating a schematic structure of the gas turbine according to the exemplary embodiment;

FIG. 3 is a partial sectional view illustrating an internal structure of the gas turbine according to an exemplary embodiment;

FIG. 4 is a rear view of a turbine nozzle including an airfoil core according to an exemplary embodiment;

FIG. 5 is a front view of a turbine nozzle including an airfoil core according to an exemplary embodiment;

FIG. 6 is a sectional view taken through the airfoil core of FIG. 4 according to an exemplary embodiment; and

FIG. 7 is an outer envelope of a nominal profile of the airfoil core according to an exemplary embodiment.

DETAILED DESCRIPTION

Various modifications and various embodiments will be described below in detail with reference to the accompanying drawings so that those skilled in the art can easily carry out the disclosure. It should be understood, however, that the various embodiments are not for limiting the scope of the disclosure to the specific embodiment, but they should be interpreted to include all modifications, equivalents, and alternatives of the embodiments included within the spirit and scope disclosed herein.

Hereinafter, exemplary embodiments will be described in detail with reference to the accompanying drawings. Throughout the disclosure, like reference numerals refer to like parts throughout the various figures and exemplary embodiments. In certain embodiments, a detailed description of functions and configurations well known in the art may be omitted to avoid obscuring appreciation of the disclosure by a person of ordinary skill in the art. For the same reason, some components may be exaggerated, omitted, or schematically illustrated in the accompanying drawings.

FIG. 1 is a partially cutaway perspective view illustrating a gas turbine according to an exemplary embodiment. FIG. 2 is a cross-sectional view illustrating a schematic structure of the gas turbine according to the exemplary embodiment.

Referring to FIGS. 1 and 2 , the gas turbine 1000 may include a compressor 1100, a combustor 1200, and a turbine 1300. Based on a flow direction of gas (e.g., compressed air or combustion gas), the compressor 1100 is disposed at an upstream side of the gas turbine 1000, and the turbine 1300 is disposed at a downstream side of the gas turbine 1000. The combustor 1200 is disposed between the compressor 1100 and the turbine 1300.

The compressor 1100 includes compressor vanes 1120 and compressor rotors in a compressor housing. The turbine 1300 includes turbine vane 1320 and turbine rotors in a turbine housing. The compressor vanes 1120 and the compressor rotors are arranged in a multi-stage arrangement along the flow direction of compressed air. The turbine vanes 1320 and the turbine rotors are arranged in a multi-stage arrangement along the flow direction of combustion gas. The compressor 1100 is designed such that an internal space is gradually decreased in size from a front stage to a rear stage so that air drawn into the compressor 1100 can be compressed. On the contrary, the turbine 1300 is designed such that an internal space is gradually increased in size from a front stage to a rear stage so that combustion gas received from the combustor 1200 can expand.

A torque tube for transmitting a rotational torque generated by the turbine 1300 to the compressor 1100 is disposed between a compressor rotor that is located at the rearmost stage of the compressor 1100 and a turbine rotor that is located at the foremost stage of the turbine 1300. FIG. 2 illustrates a case in which the torque tube includes multiple torque tube disks arranged in a three-stage arrangement, but it is understood that this is only an example and other exemplary embodiments are not limited thereto. For example, the torque tube may include multiple torque tube disks arranged in an arrangement of equal to or greater than four stages or an arrangement of equal to or less than two stages.

Each of the compressor rotors includes a compressor rotor disk and a compressor blade 1110 fastened to the compressor disk. That is, the compressor 1100 includes a plurality of compressor rotor disks, and respective compressor rotor disks are coupled to each other by a tie rod to prevent axial separation in an axial direction. The compressor rotor disks are arranged in the axial direction with the tie rod extending through centers of the compressor disks. Adjacent compressor rotor disks are arranged such that opposing surfaces thereof are in tight contact with each other by being tightly fastened by the tie rod so that the adjacent compressor rotor disks cannot rotate relative to each other. Each of the compressor rotor disks has a plurality of compressor blades 1110 radially coupled to an outer circumferential surface thereof.

The compressor blades 1110 (or referred to as buckets) are radially coupled to an outer circumferential surface of each of the compressor rotor disks in a row. The compressor vanes 1120 (or referred to as nozzles) are provided on an inner circumferential surface of the compressor housing in an annular row in each stage, and rows of the compressor vanes 1120 are arranged between rows of the compressor blades 1110. While the compressor disks rotate along with a rotation of the tie rod, the compressor vanes 1120 fixed to the housing do not rotate. The compressor vanes 1120 guide the flow of compressed air moved from front-stage compressor blades to rear-stage compressor blades.

The tie rod is disposed to pass through centers of the plurality of compressor rotor disks and turbine rotor disks. One end of the tie rod is fastened to a compressor disk located at the foremost stage of the compressor 1100, and the other end thereof is fastened in the torque tube by a fastening nut.

It is understood that the tie rod is not limited to the example illustrated in FIG. 2 , and may be changed or vary according to one or more other exemplary embodiments. For example, a single tie rod may be disposed to pass through the centers of the rotor disks, a plurality of tie rods may be arranged circumferentially, or a combination thereof may be used.

Also, a deswirler serving as a guide vane may be provided in the compressor 1100 to adjust an actual inflow angle of the fluid entering into an inlet of the combustor 1200 to a designed inflow angle.

The combustor 1200 mixes the introduced compressed air with fuel, burns a fuel-air mixture to produce high-temperature and high-pressure combustion gas with high energy, and increases the temperature of the combustion gas to a temperature at which the combustor and the turbine components are able to withstand an isobaric combustion process.

A plurality of combustors constituting the combustor 1200 of the gas turbine may be arranged in the housing in a form of a cell. The combustor 1200 may include a plurality of chambers 1210 and fuel nozzle modules 1220 arranged annually.

The high-temperature and high-pressure combustion gas supplied from the combustor 1200 flows into the turbine 1300 and expands while passing through the inside of the turbine 1300, thereby applying an impulsive force or reaction force to the turbine blades 1310 to generate a rotational torque. A portion of the rotational torque is transmitted to the compressor via the torque tube, and a remaining portion which is an excessive torque is used to drive a generator to produce power.

The turbine 1300 basically has a structure similar to the compressor 1100. That is, the turbine 1300 may include a plurality of turbine rotors similar to the compressor rotors, and each of the turbine rotor may include a turbine rotor disk and a turbine blade 1310 fastened to the turbine rotor disk. A plurality of turbine blades 1310 (or referred to as buckets) are radially disposed. A plurality of turbine vanes 1320 (or referred to as nozzles) are fixedly arranged on an inner circumferential surface of the turbine housing in an annular row in each stage, and rows of the turbine vanes 1320 are arranged between rows of the turbine blades 1310. The turbine vanes 1320 guide the flow direction of combustion gas passing through the turbine blades 1310.

FIG. 3 is a partial sectional view illustrating an internal structure of the gas turbine according to an exemplary embodiment. FIG. 4 is a rear view of a turbine nozzle including an airfoil core according to an exemplary embodiment. FIG. 5 is a front view of a turbine nozzle including an airfoil core according to an exemplary embodiment. FIG. 6 is a sectional view taken through the airfoil core of FIG. 4 according to an exemplary embodiment.

Referring to FIG. 3 , the turbine 1300 may include a plurality of turbine stages employing a plurality of nozzles and a plurality of buckets. For example, the turbine may include a first stage having a first stage nozzle 1320 and a first stage bucket 1310, a second stage having a second stage nozzle 1326 and a second stage bucket 1316, and a third stage having a third stage nozzle 1332 and a third stage bucket 1322. Although FIG. 3 illustrates three turbine stages, this is only an example, and it is understood that any number of turbine stages may be used. Here, the first stage nozzle 1320 may include an airfoil core 1330 having a platform 1340 to an end wall 1342. For example, the turbine 1300 may include a plurality of first stage nozzles 1320 spaced, circumferentially, about a first stage nozzle assembly.

Referring to FIGS. 4 to 6 , the turbine nozzle 1320 according to the exemplary embodiment includes an airfoil core 1330 (i.e., an internal airfoil) extending from a platform 1340 to an end wall 1342. The airfoil core 1330 has an airfoil-shaped cross section having a leading edge 1350, a trailing edge 1352, a pressure side 1360, and a suction side 1362. The pressure side 1360 and the suction side 1362 are formed to extend from the leading edge 1350 to the trailing edge 1352.

The airfoil core shape may be defined by a loci of points in space that meet stage design requirements. These points are unique and specific to the system. The list of X, Y, and Z coordinates for the airfoil core, which are included as Table 1, has been optimized for stage efficiency, aerodynamic efficiency, and thermal and mechanical life requirements. In one exemplary embodiment, the points may be arrived at by iteration between aerodynamic and mechanical design optimization. Accordingly, these are the only loci of points that allow the gas turbine to run at the most efficient, safe and smooth manner.

Referring to FIGS. 4 and 5 , the airfoil core shape of the exemplary embodiment is defined by a unique set or loci of points in space that may be delineated. As shown in Table 1, the loci that defines the shape of the airfoil core may include a set of approximately 1,440 points with X, Y and Z coordinates. The 1,440 points represent 12 sections of airfoil core 1330 each containing 120 points. The X, Y and Z coordinates, which represent the airfoil core shape, are created in a coordinate system which is defined relative to the cold rotor centerline axis of the gas turbine (i.e., X coordinate axis). The origin of the coordinate system on the cold rotor centerline axis is defined as X=0.0, Y=0.0 and Z=0.0. For example, the coordinate system is set relative to the airfoil core and is fully defined by points A, B and C. Points A and B are both located 41.650 inches above the cold rotor centerline axis. Point A lies at an intersection of the airfoil core mean camber line and the leading-edge airfoil core surface. Point B lies at an intersection of the airfoil core mean camber line and the trailing-edge airfoil core surface. Point C is located 46.100 inches above the cold rotor centerline axis and lies at the intersection of the airfoil core mean camber line and the airfoil core trailing-edge surface. Here, a coordinate system origin is located at point A. Points A and B define the positive X-axis. Points A, B and C define the positive X-Z plane. The Y-axis is then defined using the right-hand rule methodology. The coordinate values for the X, Y and Z coordinates are set forth in inches in Table 1, although other units of dimensions may be used if the values are appropriately converted.

The Cartesian coordinate system of X, Y and Z values given in Table 1 below defines the shape of the airfoil core according to an exemplary embodiment. More specifically, the shape of the airfoil core is defined by the cloud of points listed such that airfoil core could be constructed by defining approximately smooth sheet surfaces through the listed points. As one of ordinary skill in the art will appreciate, Table 1 values are generated and shown to three decimal places for determining the profile of airfoil core. All of the 1,440 points represent a nominal cold or room temperature shape of the airfoil core. It will be appreciated that as the nozzle heats up in operation, mechanical loading and temperature will cause a change in X, Y and Z coordinates. Accordingly, values for the airfoil core shape given in Table 1 represent ambient, non-operating or non-hot conditions.

The coordinate values set forth in Table 1 below are for a cold condition of the turbine nozzle (e.g., non-rotating state and at room temperature). Further, the coordinate values set forth in Table 1 are for an uncoated nominal three-dimensional (3D) shape of the turbine nozzle. In some aspects, a coating (e.g., corrosion protective coating) may be applied to the turbine nozzle. The coating thickness may up to about 0.010 inches thick.

Further, the turbine nozzle 1320 may be fabricated using a variety of manufacturing techniques, such as forging, casting, milling, electro-chemical machining, electric-discharge machining, and the like. As such, the turbine nozzle may have a series of manufacturing tolerances for the position, profile, twist, and chord that can cause the turbine nozzle to vary from the nominal 3D shape defined by the coordinate values set forth in Table 1. This manufacturing tolerance may be, for example, +/−0.120 inches in a direction away from any of the coordinate values of Table 1 without departing from the scope of the subject matter described herein.

In addition to manufacturing tolerances affecting the overall size of the turbine nozzle, it is also possible to scale the airfoil to a larger or smaller airfoil core size. In order to maintain the benefits of this 3D shape, in terms of stiffness and stress, it is necessary to scale the turbine nozzle uniformly in the X, Y, and Z directions.

The Table 1 values are generated and shown for determining the profile of the airfoil core. There are typical manufacturing tolerances as well as coatings which must be accounted for in the actual profile of the airfoil core. Each section is joined smoothly with the other sections to form the complete airfoil core shape. It will therefore be appreciated that +/− typical manufacturing tolerances, i.e., +/− values, including any coating thicknesses, are additive to the X, Y and Z values given in Table 1 below.

TABLE 1 Section 1 X Y Z Section 2 X Y Z Point 1 5.994 −0.345 −0.677 Point 1 6.172 −0.042 −0.103 Point 2 5.903 −0.290 −0.673 Point 2 6.078 0.005 −0.100 Point 3 5.786 −0.323 −0.676 Point 3 5.960 −0.028 −0.102 Point 4 5.669 −0.356 −0.678 Point 4 5.841 −0.062 −0.105 Point 5 5.551 −0.388 −0.680 Point 5 5.722 −0.095 −0.107 Point 6 5.434 −0.420 −0.683 Point 6 5.603 −0.127 −0.110 Point 7 5.316 −0.451 −0.685 Point 7 5.484 −0.159 −0.112 Point 8 5.199 −0.481 −0.687 Point 8 5.365 −0.190 −0.114 Point 9 5.081 −0.510 −0.689 Point 9 5.245 −0.220 −0.117 Point 10 4.962 −0.538 −0.692 Point 10 5.125 −0.249 −0.119 Point 11 4.844 −0.565 −0.694 Point 11 5.005 −0.277 −0.121 Point 12 4.725 −0.590 −0.695 Point 12 4.885 −0.304 −0.123 Point 13 4.606 −0.614 −0.697 Point 13 4.765 −0.330 −0.125 Point 14 4.486 −0.636 −0.699 Point 14 4.644 −0.355 −0.127 Point 15 4.366 −0.656 −0.700 Point 15 4.523 −0.378 −0.128 Point 16 4.246 −0.674 −0.702 Point 16 4.401 −0.400 −0.130 Point 17 4.125 −0.690 −0.703 Point 17 4.280 −0.421 −0.131 Point 18 4.005 −0.703 −0.704 Point 18 4.158 −0.440 −0.133 Point 19 3.884 −0.715 −0.705 Point 19 4.036 −0.458 −0.134 Point 20 3.762 −0.724 −0.705 Point 20 3.914 −0.474 −0.135 Point 21 3.641 −0.730 −0.706 Point 21 3.791 −0.489 −0.136 Point 22 3.519 −0.734 −0.706 Point 22 3.669 −0.501 −0.137 Point 23 3.398 −0.735 −0.706 Point 23 3.546 −0.512 −0.138 Point 24 3.276 −0.734 −0.706 Point 24 3.423 −0.521 −0.139 Point 25 3.155 −0.729 −0.706 Point 25 3.300 −0.527 −0.139 Point 26 3.034 −0.722 −0.705 Point 26 3.176 −0.532 −0.140 Point 27 2.912 −0.711 −0.704 Point 27 3.053 −0.534 −0.140 Point 28 2.792 −0.698 −0.703 Point 28 2.930 −0.534 −0.140 Point 29 2.671 −0.682 −0.702 Point 29 2.807 −0.532 −0.140 Point 30 2.551 −0.663 −0.701 Point 30 2.683 −0.527 −0.139 Point 31 2.431 −0.641 −0.699 Point 31 2.560 −0.520 −0.139 Point 32 2.312 −0.617 −0.697 Point 32 2.437 −0.510 −0.138 Point 33 2.194 −0.589 −0.695 Point 33 2.315 −0.498 −0.137 Point 34 2.076 −0.559 −0.693 Point 34 2.192 −0.482 −0.136 Point 35 1.959 −0.527 −0.691 Point 35 2.070 −0.464 −0.135 Point 36 1.843 −0.492 −0.688 Point 36 1.949 −0.443 −0.133 Point 37 1.727 −0.455 −0.685 Point 37 1.828 −0.420 −0.131 Point 38 1.612 −0.415 −0.682 Point 38 1.707 −0.393 −0.129 Point 39 1.498 −0.374 −0.679 Point 39 1.588 −0.364 −0.127 Point 40 1.384 −0.331 −0.676 Point 40 1.468 −0.332 −0.125 Point 41 1.271 −0.286 −0.673 Point 41 1.350 −0.298 −0.122 Point 42 1.158 −0.241 −0.670 Point 42 1.233 −0.261 −0.120 Point 43 1.046 −0.194 −0.666 Point 43 1.116 −0.221 −0.117 Point 44 0.934 −0.146 −0.663 Point 44 1.000 −0.180 −0.114 Point 45 0.823 −0.098 −0.659 Point 45 0.884 −0.137 −0.110 Point 46 0.711 −0.051 −0.656 Point 46 0.769 −0.093 −0.107 Point 47 0.598 −0.005 −0.652 Point 47 0.654 −0.050 −0.104 Point 48 0.484 0.038 −0.649 Point 48 0.537 −0.008 −0.101 Point 49 0.369 0.075 −0.646 Point 49 0.420 0.029 −0.098 Point 50 0.250 0.101 −0.644 Point 50 0.299 0.054 −0.096 Point 51 0.129 0.103 −0.644 Point 51 0.176 0.060 −0.096 Point 52 0.013 0.068 −0.647 Point 52 0.056 0.034 −0.098 Point 53 −0.092 0.007 −0.651 Point 53 −0.053 −0.022 −0.102 Point 54 −0.177 −0.078 −0.658 Point 54 −0.139 −0.110 −0.108 Point 55 −0.239 −0.183 −0.665 Point 55 −0.199 −0.217 −0.116 Point 56 −0.285 −0.295 −0.674 Point 56 −0.242 −0.332 −0.125 Point 57 −0.318 −0.411 −0.682 Point 57 −0.271 −0.451 −0.134 Point 58 −0.341 −0.530 −0.691 Point 58 −0.289 −0.573 −0.143 Point 59 −0.355 −0.651 −0.700 Point 59 −0.296 −0.696 −0.152 Point 60 −0.357 −0.772 −0.709 Point 60 −0.293 −0.819 −0.161 Point 61 −0.349 −0.893 −0.718 Point 61 −0.280 −0.941 −0.170 Point 62 −0.331 −1.013 −0.727 Point 62 −0.257 −1.062 −0.179 Point 63 −0.303 −1.131 −0.735 Point 63 −0.224 −1.180 −0.188 Point 64 −0.264 −1.246 −0.744 Point 64 −0.179 −1.294 −0.196 Point 65 −0.214 −1.356 −0.752 Point 65 −0.123 −1.404 −0.204 Point 66 −0.153 −1.460 −0.760 Point 66 −0.054 −1.506 −0.212 Point 67 −0.080 −1.557 −0.767 Point 67 0.026 −1.599 −0.219 Point 68 0.004 −1.645 −0.773 Point 68 0.117 −1.682 −0.225 Point 69 0.097 −1.723 −0.779 Point 69 0.218 −1.753 −0.230 Point 70 0.198 −1.791 −0.784 Point 70 0.326 −1.812 −0.234 Point 71 0.305 −1.848 −0.788 Point 71 0.440 −1.858 −0.238 Point 72 0.417 −1.894 −0.792 Point 72 0.558 −1.893 −0.240 Point 73 0.533 −1.932 −0.795 Point 73 0.679 −1.918 −0.242 Point 74 0.651 −1.960 −0.797 Point 74 0.801 −1.934 −0.243 Point 75 0.771 −1.981 −0.798 Point 75 0.924 −1.942 −0.244 Point 76 0.892 −1.996 −0.799 Point 76 1.047 −1.943 −0.244 Point 77 1.013 −2.003 −0.800 Point 77 1.171 −1.939 −0.244 Point 78 1.134 −2.006 −0.800 Point 78 1.294 −1.929 −0.243 Point 79 1.256 −2.004 −0.800 Point 79 1.416 −1.915 −0.242 Point 80 1.377 −1.997 −0.799 Point 80 1.538 −1.897 −0.241 Point 81 1.498 −1.987 −0.799 Point 81 1.660 −1.875 −0.239 Point 82 1.619 −1.973 −0.798 Point 82 1.780 −1.851 −0.237 Point 83 1.740 −1.956 −0.796 Point 83 1.901 −1.824 −0.235 Point 84 1.860 −1.937 −0.795 Point 84 2.021 −1.795 −0.233 Point 85 1.979 −1.915 −0.793 Point 85 2.140 −1.764 −0.231 Point 86 2.098 −1.891 −0.792 Point 86 2.259 −1.731 −0.228 Point 87 2.217 −1.865 −0.790 Point 87 2.377 −1.696 −0.226 Point 88 2.335 −1.837 −0.788 Point 88 2.495 −1.660 −0.223 Point 89 2.453 −1.807 −0.785 Point 89 2.612 −1.623 −0.220 Point 90 2.571 −1.776 −0.783 Point 90 2.729 −1.584 −0.217 Point 91 2.688 −1.743 −0.781 Point 91 2.846 −1.544 −0.214 Point 92 2.804 −1.709 −0.778 Point 92 2.962 −1.503 −0.211 Point 93 2.921 −1.674 −0.776 Point 93 3.078 −1.461 −0.208 Point 94 3.037 −1.637 −0.773 Point 94 3.194 −1.418 −0.205 Point 95 3.152 −1.600 −0.770 Point 95 3.309 −1.374 −0.202 Point 96 3.267 −1.561 −0.767 Point 96 3.424 −1.330 −0.199 Point 97 3.382 −1.522 −0.764 Point 97 3.539 −1.285 −0.195 Point 98 3.497 −1.481 −0.761 Point 98 3.653 −1.239 −0.192 Point 99 3.611 −1.440 −0.758 Point 99 3.767 −1.193 −0.189 Point 100 3.726 −1.398 −0.755 Point 100 3.882 −1.146 −0.185 Point 101 3.839 −1.356 −0.752 Point 101 3.995 −1.099 −0.182 Point 102 3.953 −1.312 −0.749 Point 102 4.109 −1.051 −0.178 Point 103 4.066 −1.268 −0.746 Point 103 4.222 −1.003 −0.174 Point 104 4.179 −1.224 −0.742 Point 104 4.336 −0.955 −0.171 Point 105 4.292 −1.179 −0.739 Point 105 4.449 −0.906 −0.167 Point 106 4.405 −1.133 −0.736 Point 106 4.562 −0.856 −0.164 Point 107 4.517 −1.087 −0.732 Point 107 4.675 −0.807 −0.160 Point 108 4.629 −1.040 −0.729 Point 108 4.787 −0.757 −0.156 Point 109 4.741 −0.993 −0.725 Point 109 4.900 −0.707 −0.153 Point 110 4.853 −0.945 −0.722 Point 110 5.012 −0.656 −0.149 Point 111 4.965 −0.897 −0.718 Point 111 5.124 −0.605 −0.145 Point 112 5.076 −0.849 −0.715 Point 112 5.237 −0.554 −0.141 Point 113 5.187 −0.800 −0.711 Point 113 5.349 −0.503 −0.137 Point 114 5.299 −0.751 −0.707 Point 114 5.461 −0.451 −0.134 Point 115 5.409 −0.701 −0.704 Point 115 5.573 −0.399 −0.130 Point 116 5.520 −0.651 −0.700 Point 116 5.684 −0.347 −0.126 Point 117 5.631 −0.601 −0.696 Point 117 5.796 −0.295 −0.122 Point 118 5.741 −0.550 −0.692 Point 118 5.908 −0.243 −0.118 Point 119 5.852 −0.499 −0.689 Point 119 6.019 −0.190 −0.114 Point 120 5.961 −0.447 −0.685 Point 120 6.130 −0.139 −0.111 Section 3 X Y Z Section 4 X Y Z Point 1 6.283 0.139 0.461 Point 1 6.366 0.218 1.019 Point 2 6.239 0.043 0.454 Point 2 6.267 0.257 1.022 Point 3 6.283 0.139 0.461 Point 3 6.146 0.222 1.019 Point 4 6.185 0.179 0.464 Point 4 6.025 0.188 1.017 Point 5 6.066 0.143 0.462 Point 5 5.903 0.154 1.014 Point 6 5.946 0.109 0.459 Point 6 5.781 0.122 1.012 Point 7 5.826 0.076 0.457 Point 7 5.659 0.090 1.009 Point 8 5.706 0.044 0.454 Point 8 5.537 0.059 1.007 Point 9 5.585 0.012 0.452 Point 9 5.414 0.029 1.005 Point 10 5.464 −0.019 0.450 Point 10 5.292 0.000 1.003 Point 11 5.344 −0.049 0.448 Point 11 5.169 −0.029 1.001 Point 12 5.222 −0.079 0.445 Point 12 5.046 −0.057 0.999 Point 13 5.101 −0.108 0.443 Point 13 4.923 −0.084 0.997 Point 14 4.979 −0.135 0.441 Point 14 4.799 −0.110 0.995 Point 15 4.858 −0.162 0.439 Point 15 4.676 −0.135 0.993 Point 16 4.736 −0.188 0.437 Point 16 4.552 −0.159 0.991 Point 17 4.614 −0.213 0.435 Point 17 4.428 −0.183 0.989 Point 18 4.491 −0.237 0.434 Point 18 4.304 −0.205 0.988 Point 19 4.369 −0.260 0.432 Point 19 4.180 −0.227 0.986 Point 20 4.246 −0.282 0.430 Point 20 4.055 −0.247 0.984 Point 21 4.123 −0.303 0.429 Point 21 3.931 −0.267 0.983 Point 22 4.000 −0.323 0.427 Point 22 3.806 −0.285 0.982 Point 23 3.877 −0.341 0.426 Point 23 3.681 −0.303 0.980 Point 24 3.753 −0.358 0.425 Point 24 3.556 −0.319 0.979 Point 25 3.630 −0.374 0.424 Point 25 3.431 −0.334 0.978 Point 26 3.506 −0.389 0.422 Point 26 3.306 −0.347 0.977 Point 27 3.382 −0.402 0.422 Point 27 3.180 −0.359 0.976 Point 28 3.257 −0.413 0.421 Point 28 3.054 −0.370 0.975 Point 29 3.133 −0.423 0.420 Point 29 2.929 −0.380 0.975 Point 30 3.009 −0.431 0.419 Point 30 2.803 −0.388 0.974 Point 31 2.884 −0.437 0.419 Point 31 2.677 −0.394 0.974 Point 32 2.760 −0.441 0.419 Point 32 2.551 −0.398 0.973 Point 33 2.635 −0.444 0.418 Point 33 2.425 −0.400 0.973 Point 34 2.510 −0.444 0.418 Point 34 2.299 −0.401 0.973 Point 35 2.386 −0.441 0.419 Point 35 2.172 −0.399 0.973 Point 36 2.261 −0.437 0.419 Point 36 2.046 −0.395 0.974 Point 37 2.137 −0.429 0.419 Point 37 1.921 −0.389 0.974 Point 38 2.012 −0.420 0.420 Point 38 1.795 −0.379 0.975 Point 39 1.888 −0.407 0.421 Point 39 1.669 −0.367 0.976 Point 40 1.764 −0.391 0.422 Point 40 1.544 −0.352 0.977 Point 41 1.641 −0.372 0.424 Point 41 1.419 −0.333 0.978 Point 42 1.519 −0.350 0.425 Point 42 1.295 −0.311 0.980 Point 43 1.396 −0.325 0.427 Point 43 1.172 −0.285 0.982 Point 44 1.275 −0.296 0.429 Point 44 1.049 −0.254 0.984 Point 45 1.155 −0.264 0.432 Point 45 0.928 −0.220 0.986 Point 46 1.035 −0.228 0.434 Point 46 0.808 −0.183 0.989 Point 47 0.917 −0.190 0.437 Point 47 0.689 −0.142 0.992 Point 48 0.799 −0.149 0.440 Point 48 0.570 −0.099 0.995 Point 49 0.682 −0.106 0.443 Point 49 0.451 −0.057 0.998 Point 50 0.565 −0.064 0.447 Point 50 0.330 −0.023 1.001 Point 51 0.447 −0.024 0.449 Point 51 0.205 −0.009 1.002 Point 52 0.326 0.007 0.452 Point 52 0.081 −0.030 1.000 Point 53 0.202 0.020 0.453 Point 53 −0.030 −0.089 0.996 Point 54 0.079 0.000 0.451 Point 54 −0.115 −0.181 0.989 Point 55 −0.031 −0.056 0.447 Point 55 −0.174 −0.292 0.981 Point 56 −0.116 −0.147 0.440 Point 56 −0.216 −0.411 0.972 Point 57 −0.175 −0.256 0.432 Point 57 −0.244 −0.533 0.963 Point 58 −0.217 −0.373 0.424 Point 58 −0.260 −0.658 0.954 Point 59 −0.244 −0.494 0.415 Point 59 −0.266 −0.783 0.945 Point 60 −0.260 −0.617 0.406 Point 60 −0.261 −0.909 0.936 Point 61 −0.265 −0.742 0.396 Point 61 −0.246 −1.034 0.926 Point 62 −0.260 −0.866 0.387 Point 62 −0.220 −1.157 0.917 Point 63 −0.246 −0.989 0.378 Point 63 −0.183 −1.277 0.908 Point 64 −0.220 −1.111 0.369 Point 64 −0.134 −1.393 0.900 Point 65 −0.184 −1.230 0.360 Point 65 −0.072 −1.502 0.892 Point 66 −0.136 −1.345 0.352 Point 66 0.005 −1.602 0.884 Point 67 −0.076 −1.453 0.344 Point 67 0.094 −1.691 0.878 Point 68 −0.003 −1.554 0.336 Point 68 0.196 −1.765 0.872 Point 69 0.083 −1.645 0.330 Point 69 0.307 −1.825 0.868 Point 70 0.180 −1.723 0.324 Point 70 0.424 −1.870 0.864 Point 71 0.286 −1.787 0.319 Point 71 0.546 −1.901 0.862 Point 72 0.400 −1.838 0.315 Point 72 0.671 −1.920 0.861 Point 73 0.519 −1.875 0.313 Point 73 0.797 −1.928 0.860 Point 74 0.641 −1.901 0.311 Point 74 0.923 −1.929 0.860 Point 75 0.764 −1.916 0.310 Point 75 1.049 −1.922 0.861 Point 76 0.889 −1.922 0.309 Point 76 1.174 −1.909 0.862 Point 77 1.014 −1.921 0.309 Point 77 1.299 −1.891 0.863 Point 78 1.138 −1.914 0.310 Point 78 1.423 −1.869 0.865 Point 79 1.262 −1.900 0.311 Point 79 1.547 −1.843 0.866 Point 80 1.385 −1.883 0.312 Point 80 1.669 −1.814 0.869 Point 81 1.508 −1.861 0.314 Point 81 1.792 −1.783 0.871 Point 82 1.630 −1.836 0.315 Point 82 1.913 −1.749 0.873 Point 83 1.752 −1.808 0.318 Point 83 2.034 −1.713 0.876 Point 84 1.873 −1.777 0.320 Point 84 2.154 −1.675 0.879 Point 85 1.993 −1.744 0.322 Point 85 2.274 −1.636 0.882 Point 86 2.113 −1.709 0.325 Point 86 2.393 −1.595 0.885 Point 87 2.232 −1.673 0.328 Point 87 2.512 −1.553 0.888 Point 88 2.350 −1.634 0.330 Point 88 2.631 −1.510 0.891 Point 89 2.469 −1.595 0.333 Point 89 2.749 −1.466 0.894 Point 90 2.586 −1.554 0.336 Point 90 2.866 −1.421 0.898 Point 91 2.704 −1.512 0.339 Point 91 2.984 −1.375 0.901 Point 92 2.821 −1.469 0.343 Point 92 3.101 −1.328 0.905 Point 93 2.937 −1.425 0.346 Point 93 3.218 −1.281 0.908 Point 94 3.054 −1.380 0.349 Point 94 3.334 −1.232 0.912 Point 95 3.170 −1.334 0.353 Point 95 3.450 −1.184 0.915 Point 96 3.285 −1.288 0.356 Point 96 3.567 −1.135 0.919 Point 97 3.401 −1.241 0.359 Point 97 3.682 −1.085 0.922 Point 98 3.516 −1.193 0.363 Point 98 3.798 −1.035 0.926 Point 99 3.631 −1.145 0.367 Point 99 3.914 −0.985 0.930 Point 100 3.746 −1.096 0.370 Point 100 4.029 −0.934 0.934 Point 101 3.860 −1.047 0.374 Point 101 4.144 −0.883 0.937 Point 102 3.975 −0.998 0.377 Point 102 4.259 −0.832 0.941 Point 103 4.089 −0.948 0.381 Point 103 4.374 −0.780 0.945 Point 104 4.203 −0.898 0.385 Point 104 4.489 −0.728 0.949 Point 105 4.317 −0.847 0.389 Point 105 4.604 −0.676 0.953 Point 106 4.431 −0.797 0.392 Point 106 4.719 −0.624 0.957 Point 107 4.544 −0.746 0.396 Point 107 4.833 −0.571 0.960 Point 108 4.658 −0.694 0.400 Point 108 4.948 −0.519 0.964 Point 109 4.771 −0.643 0.404 Point 109 5.062 −0.466 0.968 Point 110 4.885 −0.591 0.408 Point 110 5.177 −0.413 0.972 Point 111 4.998 −0.539 0.411 Point 111 5.291 −0.360 0.976 Point 112 5.111 −0.487 0.415 Point 112 5.405 −0.306 0.980 Point 113 5.224 −0.434 0.419 Point 113 5.519 −0.253 0.984 Point 114 5.337 −0.382 0.423 Point 114 5.634 −0.199 0.988 Point 115 5.450 −0.329 0.427 Point 115 5.748 −0.146 0.992 Point 116 5.563 −0.276 0.431 Point 116 5.862 −0.092 0.996 Point 117 5.676 −0.223 0.435 Point 117 5.976 −0.038 1.000 Point 118 5.789 −0.170 0.439 Point 118 6.090 0.015 1.004 Point 119 5.902 −0.117 0.443 Point 119 6.204 0.069 1.008 Point 120 6.014 −0.064 0.446 Point 120 6.318 0.123 1.012 Section 5 X Y Z Section 6 X Y Z Point 1 6.459 0.245 1.572 Point 1 6.563 0.239 2.123 Point 2 6.410 0.150 1.565 Point 2 6.512 0.143 2.116 Point 3 6.459 0.245 1.572 Point 3 6.563 0.239 2.123 Point 4 6.359 0.283 1.575 Point 4 6.461 0.276 2.126 Point 5 6.236 0.248 1.573 Point 5 6.337 0.240 2.123 Point 6 6.113 0.213 1.570 Point 6 6.212 0.205 2.121 Point 7 5.990 0.180 1.568 Point 7 6.088 0.171 2.118 Point 8 5.867 0.147 1.565 Point 8 5.962 0.139 2.116 Point 9 5.743 0.115 1.563 Point 9 5.837 0.106 2.114 Point 10 5.619 0.084 1.560 Point 10 5.712 0.075 2.111 Point 11 5.495 0.053 1.558 Point 11 5.586 0.044 2.109 Point 12 5.371 0.024 1.556 Point 12 5.460 0.014 2.107 Point 13 5.247 −0.005 1.554 Point 13 5.334 −0.015 2.105 Point 14 5.122 −0.033 1.552 Point 14 5.208 −0.043 2.103 Point 15 4.997 −0.061 1.550 Point 15 5.082 −0.071 2.101 Point 16 4.872 −0.087 1.548 Point 16 4.955 −0.098 2.099 Point 17 4.747 −0.113 1.546 Point 17 4.829 −0.124 2.097 Point 18 4.622 −0.138 1.544 Point 18 4.702 −0.149 2.095 Point 19 4.497 −0.162 1.542 Point 19 4.575 −0.174 2.093 Point 20 4.371 −0.185 1.541 Point 20 4.448 −0.198 2.091 Point 21 4.245 −0.207 1.539 Point 21 4.321 −0.221 2.089 Point 22 4.119 −0.229 1.537 Point 22 4.193 −0.243 2.088 Point 23 3.993 −0.249 1.536 Point 23 4.066 −0.264 2.086 Point 24 3.867 −0.269 1.534 Point 24 3.938 −0.284 2.085 Point 25 3.741 −0.287 1.533 Point 25 3.810 −0.304 2.083 Point 26 3.614 −0.304 1.532 Point 26 3.682 −0.322 2.082 Point 27 3.488 −0.321 1.531 Point 27 3.554 −0.340 2.081 Point 28 3.361 −0.336 1.529 Point 28 3.426 −0.356 2.079 Point 29 3.234 −0.350 1.528 Point 29 3.297 −0.371 2.078 Point 30 3.107 −0.362 1.527 Point 30 3.168 −0.385 2.077 Point 31 2.980 −0.374 1.527 Point 31 3.040 −0.398 2.076 Point 32 2.852 −0.384 1.526 Point 32 2.911 −0.409 2.075 Point 33 2.725 −0.392 1.525 Point 33 2.782 −0.419 2.075 Point 34 2.597 −0.399 1.525 Point 34 2.653 −0.427 2.074 Point 35 2.470 −0.403 1.524 Point 35 2.524 −0.433 2.074 Point 36 2.342 −0.407 1.524 Point 36 2.394 −0.437 2.073 Point 37 2.214 −0.408 1.524 Point 37 2.265 −0.440 2.073 Point 38 2.087 −0.406 1.524 Point 38 2.136 −0.440 2.073 Point 39 1.959 −0.403 1.524 Point 39 2.006 −0.438 2.073 Point 40 1.832 −0.397 1.525 Point 40 1.877 −0.433 2.074 Point 41 1.704 −0.387 1.526 Point 41 1.748 −0.425 2.074 Point 42 1.577 −0.375 1.526 Point 42 1.619 −0.414 2.075 Point 43 1.450 −0.359 1.528 Point 43 1.491 −0.399 2.076 Point 44 1.324 −0.340 1.529 Point 44 1.363 −0.380 2.078 Point 45 1.199 −0.317 1.531 Point 45 1.235 −0.358 2.079 Point 46 1.074 −0.289 1.533 Point 46 1.109 −0.330 2.081 Point 47 0.950 −0.257 1.535 Point 47 0.984 −0.298 2.084 Point 48 0.828 −0.220 1.538 Point 48 0.860 −0.262 2.086 Point 49 0.707 −0.180 1.541 Point 49 0.737 −0.220 2.089 Point 50 0.587 −0.137 1.544 Point 50 0.616 −0.176 2.093 Point 51 0.466 −0.094 1.547 Point 51 0.495 −0.131 2.096 Point 52 0.344 −0.057 1.550 Point 52 0.372 −0.091 2.099 Point 53 0.218 −0.039 1.551 Point 53 0.245 −0.069 2.101 Point 54 0.093 −0.060 1.550 Point 54 0.117 −0.086 2.099 Point 55 −0.020 −0.119 1.545 Point 55 0.003 −0.145 2.095 Point 56 −0.105 −0.213 1.538 Point 56 −0.084 −0.240 2.088 Point 57 −0.165 −0.326 1.530 Point 57 −0.145 −0.354 2.080 Point 58 −0.207 −0.446 1.521 Point 58 −0.186 −0.476 2.071 Point 59 −0.234 −0.570 1.512 Point 59 −0.213 −0.602 2.061 Point 60 −0.250 −0.696 1.503 Point 60 −0.227 −0.730 2.052 Point 61 −0.255 −0.824 1.493 Point 61 −0.231 −0.859 2.042 Point 62 −0.250 −0.951 1.484 Point 62 −0.224 −0.988 2.033 Point 63 −0.234 −1.077 1.475 Point 63 −0.208 −1.116 2.023 Point 64 −0.208 −1.202 1.465 Point 64 −0.181 −1.242 2.014 Point 65 −0.170 −1.323 1.456 Point 65 −0.142 −1.365 2.005 Point 66 −0.119 −1.440 1.448 Point 66 −0.091 −1.483 1.996 Point 67 −0.055 −1.551 1.440 Point 67 −0.027 −1.595 1.988 Point 68 0.023 −1.651 1.432 Point 68 0.052 −1.698 1.980 Point 69 0.114 −1.740 1.426 Point 69 0.144 −1.788 1.974 Point 70 0.218 −1.814 1.420 Point 70 0.248 −1.864 1.968 Point 71 0.332 −1.872 1.416 Point 71 0.363 −1.924 1.964 Point 72 0.452 −1.915 1.413 Point 72 0.484 −1.968 1.960 Point 73 0.576 −1.943 1.411 Point 73 0.610 −1.997 1.958 Point 74 0.703 −1.960 1.409 Point 74 0.738 −2.014 1.957 Point 75 0.830 −1.966 1.409 Point 75 0.868 −2.020 1.956 Point 76 0.958 −1.964 1.409 Point 76 0.997 −2.017 1.957 Point 77 1.085 −1.955 1.410 Point 77 1.126 −2.007 1.957 Point 78 1.212 −1.940 1.411 Point 78 1.254 −1.991 1.958 Point 79 1.338 −1.919 1.412 Point 79 1.382 −1.970 1.960 Point 80 1.463 −1.895 1.414 Point 80 1.508 −1.945 1.962 Point 81 1.588 −1.867 1.416 Point 81 1.635 −1.916 1.964 Point 82 1.712 −1.836 1.418 Point 82 1.760 −1.883 1.966 Point 83 1.835 −1.803 1.421 Point 83 1.884 −1.849 1.969 Point 84 1.958 −1.767 1.424 Point 84 2.008 −1.812 1.972 Point 85 2.080 −1.729 1.426 Point 85 2.131 −1.773 1.975 Point 86 2.201 −1.689 1.429 Point 86 2.254 −1.732 1.978 Point 87 2.322 −1.648 1.432 Point 87 2.376 −1.689 1.981 Point 88 2.442 −1.606 1.436 Point 88 2.498 −1.646 1.984 Point 89 2.562 −1.562 1.439 Point 89 2.619 −1.601 1.987 Point 90 2.682 −1.517 1.442 Point 90 2.740 −1.555 1.991 Point 91 2.801 −1.472 1.445 Point 91 2.861 −1.508 1.994 Point 92 2.920 −1.425 1.449 Point 92 2.981 −1.460 1.998 Point 93 3.038 −1.377 1.452 Point 93 3.100 −1.411 2.001 Point 94 3.156 −1.329 1.456 Point 94 3.220 −1.362 2.005 Point 95 3.274 −1.280 1.460 Point 95 3.339 −1.312 2.009 Point 96 3.392 −1.231 1.463 Point 96 3.458 −1.261 2.012 Point 97 3.510 −1.181 1.467 Point 97 3.577 −1.210 2.016 Point 98 3.627 −1.131 1.471 Point 98 3.695 −1.158 2.020 Point 99 3.744 −1.080 1.474 Point 99 3.814 −1.106 2.024 Point 100 3.861 −1.029 1.478 Point 100 3.932 −1.054 2.028 Point 101 3.978 −0.977 1.482 Point 101 4.050 −1.002 2.032 Point 102 4.094 −0.925 1.486 Point 102 4.168 −0.949 2.036 Point 103 4.211 −0.873 1.490 Point 103 4.286 −0.895 2.040 Point 104 4.327 −0.820 1.494 Point 104 4.403 −0.842 2.043 Point 105 4.443 −0.768 1.497 Point 105 4.521 −0.788 2.047 Point 106 4.559 −0.715 1.501 Point 106 4.639 −0.734 2.051 Point 107 4.676 −0.662 1.505 Point 107 4.756 −0.680 2.055 Point 108 4.792 −0.608 1.509 Point 108 4.873 −0.626 2.059 Point 109 4.907 −0.555 1.513 Point 109 4.991 −0.571 2.063 Point 110 5.023 −0.501 1.517 Point 110 5.108 −0.517 2.068 Point 111 5.139 −0.447 1.521 Point 111 5.225 −0.462 2.072 Point 112 5.255 −0.393 1.525 Point 112 5.342 −0.407 2.076 Point 113 5.370 −0.339 1.529 Point 113 5.459 −0.353 2.080 Point 114 5.486 −0.285 1.533 Point 114 5.576 −0.298 2.084 Point 115 5.602 −0.231 1.537 Point 115 5.693 −0.243 2.088 Point 116 5.717 −0.177 1.541 Point 116 5.810 −0.188 2.092 Point 117 5.833 −0.122 1.545 Point 117 5.927 −0.132 2.096 Point 118 5.948 −0.068 1.549 Point 118 6.044 −0.077 2.100 Point 119 6.063 −0.013 1.553 Point 119 6.161 −0.022 2.104 Point 120 6.179 0.041 1.557 Point 120 6.278 0.033 2.108 Section 7 X Y Z Section 8 X Y Z Point 1 6.670 0.209 2.673 Point 1 6.770 0.161 3.221 Point 2 6.566 0.246 2.675 Point 2 6.665 0.197 3.223 Point 3 6.440 0.210 2.673 Point 3 6.538 0.162 3.221 Point 4 6.314 0.175 2.670 Point 4 6.410 0.128 3.218 Point 5 6.187 0.142 2.668 Point 5 6.282 0.094 3.216 Point 6 6.061 0.109 2.665 Point 6 6.153 0.062 3.213 Point 7 5.934 0.077 2.663 Point 7 6.025 0.031 3.211 Point 8 5.807 0.046 2.661 Point 8 5.896 0.000 3.209 Point 9 5.679 0.015 2.658 Point 9 5.767 −0.030 3.207 Point 10 5.552 −0.014 2.656 Point 10 5.638 −0.059 3.204 Point 11 5.424 −0.043 2.654 Point 11 5.508 −0.087 3.202 Point 12 5.296 −0.072 2.652 Point 12 5.379 −0.115 3.200 Point 13 5.168 −0.099 2.650 Point 13 5.249 −0.142 3.198 Point 14 5.040 −0.126 2.648 Point 14 5.119 −0.168 3.196 Point 15 4.911 −0.152 2.646 Point 15 4.989 −0.193 3.194 Point 16 4.783 −0.177 2.644 Point 16 4.859 −0.218 3.193 Point 17 4.654 −0.202 2.642 Point 17 4.729 −0.242 3.191 Point 18 4.526 −0.226 2.641 Point 18 4.599 −0.266 3.189 Point 19 4.397 −0.249 2.639 Point 19 4.468 −0.288 3.187 Point 20 4.268 −0.271 2.637 Point 20 4.338 −0.310 3.186 Point 21 4.138 −0.293 2.636 Point 21 4.207 −0.331 3.184 Point 22 4.009 −0.313 2.634 Point 22 4.076 −0.351 3.183 Point 23 3.880 −0.333 2.633 Point 23 3.945 −0.370 3.181 Point 24 3.750 −0.352 2.631 Point 24 3.814 −0.389 3.180 Point 25 3.620 −0.369 2.630 Point 25 3.683 −0.406 3.179 Point 26 3.490 −0.386 2.629 Point 26 3.551 −0.423 3.177 Point 27 3.360 −0.402 2.628 Point 27 3.420 −0.438 3.176 Point 28 3.230 −0.416 2.626 Point 28 3.288 −0.452 3.175 Point 29 3.100 −0.429 2.625 Point 29 3.156 −0.465 3.174 Point 30 2.969 −0.441 2.625 Point 30 3.024 −0.477 3.173 Point 31 2.839 −0.451 2.624 Point 31 2.892 −0.488 3.173 Point 32 2.708 −0.460 2.623 Point 32 2.760 −0.496 3.172 Point 33 2.577 −0.467 2.623 Point 33 2.628 −0.504 3.172 Point 34 2.447 −0.472 2.622 Point 34 2.496 −0.509 3.171 Point 35 2.316 −0.476 2.622 Point 35 2.363 −0.513 3.171 Point 36 2.185 −0.477 2.622 Point 36 2.231 −0.514 3.171 Point 37 2.054 −0.475 2.622 Point 37 2.098 −0.513 3.171 Point 38 1.923 −0.471 2.622 Point 38 1.966 −0.509 3.171 Point 39 1.792 −0.464 2.623 Point 39 1.834 −0.502 3.172 Point 40 1.662 −0.453 2.624 Point 40 1.702 −0.492 3.172 Point 41 1.531 −0.439 2.625 Point 41 1.570 −0.479 3.173 Point 42 1.402 −0.421 2.626 Point 42 1.439 −0.461 3.175 Point 43 1.273 −0.399 2.628 Point 43 1.308 −0.438 3.176 Point 44 1.145 −0.371 2.630 Point 44 1.179 −0.410 3.178 Point 45 1.018 −0.338 2.632 Point 45 1.051 −0.377 3.181 Point 46 0.893 −0.300 2.635 Point 46 0.924 −0.337 3.184 Point 47 0.769 −0.257 2.638 Point 47 0.800 −0.292 3.187 Point 48 0.647 −0.209 2.642 Point 48 0.678 −0.241 3.191 Point 49 0.525 −0.161 2.645 Point 49 0.556 −0.188 3.195 Point 50 0.402 −0.117 2.649 Point 50 0.433 −0.141 3.198 Point 51 0.274 −0.093 2.650 Point 51 0.304 −0.114 3.200 Point 52 0.144 −0.108 2.649 Point 52 0.173 −0.128 3.199 Point 53 0.027 −0.166 2.645 Point 53 0.053 −0.184 3.195 Point 54 −0.062 −0.261 2.638 Point 54 −0.040 −0.277 3.188 Point 55 −0.124 −0.376 2.629 Point 55 −0.103 −0.392 3.180 Point 56 −0.165 −0.499 2.620 Point 56 −0.145 −0.518 3.170 Point 57 −0.191 −0.627 2.611 Point 57 −0.171 −0.647 3.161 Point 58 −0.204 −0.757 2.601 Point 58 −0.184 −0.779 3.151 Point 59 −0.207 −0.888 2.592 Point 59 −0.185 −0.911 3.141 Point 60 −0.199 −1.018 2.582 Point 60 −0.177 −1.042 3.132 Point 61 −0.181 −1.148 2.572 Point 61 −0.159 −1.173 3.122 Point 62 −0.154 −1.275 2.563 Point 62 −0.130 −1.302 3.112 Point 63 −0.115 −1.400 2.554 Point 63 −0.091 −1.428 3.103 Point 64 −0.064 −1.520 2.545 Point 64 −0.040 −1.550 3.094 Point 65 0.001 −1.634 2.536 Point 65 0.024 −1.665 3.086 Point 66 0.079 −1.739 2.529 Point 66 0.102 −1.772 3.078 Point 67 0.170 −1.832 2.522 Point 67 0.193 −1.868 3.071 Point 68 0.275 −1.910 2.516 Point 68 0.297 −1.949 3.065 Point 69 0.390 −1.973 2.511 Point 69 0.412 −2.014 3.060 Point 70 0.512 −2.019 2.508 Point 70 0.535 −2.063 3.056 Point 71 0.639 −2.050 2.506 Point 71 0.663 −2.097 3.054 Point 72 0.769 −2.068 2.504 Point 72 0.794 −2.117 3.052 Point 73 0.900 −2.075 2.504 Point 73 0.926 −2.125 3.052 Point 74 1.031 −2.073 2.504 Point 74 1.059 −2.124 3.052 Point 75 1.161 −2.063 2.505 Point 75 1.191 −2.115 3.052 Point 76 1.291 −2.047 2.506 Point 76 1.322 −2.100 3.053 Point 77 1.420 −2.026 2.507 Point 77 1.453 −2.079 3.055 Point 78 1.549 −2.000 2.509 Point 78 1.583 −2.053 3.057 Point 79 1.676 −1.970 2.512 Point 79 1.712 −2.024 3.059 Point 80 1.803 −1.938 2.514 Point 80 1.840 −1.991 3.062 Point 81 1.929 −1.902 2.517 Point 81 1.968 −1.956 3.064 Point 82 2.055 −1.864 2.519 Point 82 2.095 −1.918 3.067 Point 83 2.179 −1.825 2.522 Point 83 2.221 −1.878 3.070 Point 84 2.304 −1.783 2.525 Point 84 2.347 −1.836 3.073 Point 85 2.427 −1.740 2.529 Point 85 2.472 −1.793 3.076 Point 86 2.550 −1.695 2.532 Point 86 2.597 −1.748 3.079 Point 87 2.673 −1.650 2.535 Point 87 2.721 −1.703 3.083 Point 88 2.795 −1.603 2.539 Point 88 2.845 −1.656 3.086 Point 89 2.917 −1.555 2.542 Point 89 2.968 −1.608 3.090 Point 90 3.039 −1.507 2.546 Point 90 3.091 −1.559 3.093 Point 91 3.160 −1.457 2.549 Point 91 3.214 −1.509 3.097 Point 92 3.281 −1.407 2.553 Point 92 3.336 −1.459 3.101 Point 93 3.402 −1.356 2.557 Point 93 3.458 −1.408 3.105 Point 94 3.522 −1.305 2.561 Point 94 3.580 −1.356 3.108 Point 95 3.642 −1.253 2.565 Point 95 3.702 −1.304 3.112 Point 96 3.762 −1.201 2.568 Point 96 3.823 −1.251 3.116 Point 97 3.882 −1.148 2.572 Point 97 3.945 −1.198 3.120 Point 98 4.002 −1.095 2.576 Point 98 4.066 −1.145 3.124 Point 99 4.121 −1.042 2.580 Point 99 4.187 −1.092 3.128 Point 100 4.241 −0.988 2.584 Point 100 4.308 −1.038 3.132 Point 101 4.360 −0.934 2.588 Point 101 4.429 −0.984 3.136 Point 102 4.479 −0.880 2.592 Point 102 4.549 −0.929 3.140 Point 103 4.598 −0.826 2.596 Point 103 4.670 −0.875 3.144 Point 104 4.717 −0.771 2.600 Point 104 4.790 −0.820 3.148 Point 105 4.836 −0.716 2.604 Point 105 4.911 −0.765 3.152 Point 106 4.955 −0.662 2.608 Point 106 5.031 −0.710 3.156 Point 107 5.074 −0.607 2.612 Point 107 5.152 −0.655 3.160 Point 108 5.193 −0.552 2.616 Point 108 5.272 −0.600 3.164 Point 109 5.311 −0.496 2.621 Point 109 5.392 −0.545 3.168 Point 110 5.430 −0.441 2.625 Point 110 5.513 −0.489 3.173 Point 111 5.549 −0.386 2.629 Point 111 5.633 −0.434 3.177 Point 112 5.667 −0.330 2.633 Point 112 5.753 −0.379 3.181 Point 113 5.786 −0.275 2.637 Point 113 5.873 −0.323 3.185 Point 114 5.904 −0.219 2.641 Point 114 5.993 −0.267 3.189 Point 115 6.023 −0.164 2.645 Point 115 6.113 −0.212 3.193 Point 116 6.141 −0.108 2.649 Point 116 6.233 −0.156 3.197 Point 117 6.260 −0.053 2.653 Point 117 6.354 −0.101 3.201 Point 118 6.378 0.003 2.657 Point 118 6.474 −0.045 3.205 Point 119 6.497 0.058 2.662 Point 119 6.594 0.010 3.210 Point 120 6.616 0.114 2.666 Point 120 6.714 0.066 3.214 Section 9 X Y Z Section 10 X Y Z Point 1 6.858 0.098 3.767 Point 1 6.936 0.022 4.313 Point 2 6.752 0.134 3.770 Point 2 6.830 0.060 4.316 Point 3 6.624 0.099 3.768 Point 3 6.700 0.026 4.314 Point 4 6.494 0.066 3.765 Point 4 6.569 −0.006 4.311 Point 5 6.365 0.034 3.763 Point 5 6.438 −0.037 4.309 Point 6 6.235 0.002 3.760 Point 6 6.308 −0.067 4.307 Point 7 6.105 −0.028 3.758 Point 7 6.176 −0.097 4.305 Point 8 5.975 −0.058 3.756 Point 8 6.045 −0.125 4.303 Point 9 5.844 −0.086 3.754 Point 9 5.913 −0.152 4.300 Point 10 5.714 −0.114 3.752 Point 10 5.782 −0.179 4.299 Point 11 5.583 −0.142 3.750 Point 11 5.650 −0.205 4.297 Point 12 5.452 −0.168 3.748 Point 12 5.518 −0.230 4.295 Point 13 5.321 −0.194 3.746 Point 13 5.386 −0.254 4.293 Point 14 5.190 −0.219 3.744 Point 14 5.254 −0.278 4.291 Point 15 5.059 −0.244 3.742 Point 15 5.121 −0.301 4.289 Point 16 4.927 −0.268 3.740 Point 16 4.989 −0.324 4.288 Point 17 4.796 −0.291 3.739 Point 17 4.856 −0.346 4.286 Point 18 4.664 −0.313 3.737 Point 18 4.723 −0.367 4.285 Point 19 4.532 −0.335 3.735 Point 19 4.591 −0.387 4.283 Point 20 4.401 −0.356 3.734 Point 20 4.458 −0.407 4.282 Point 21 4.269 −0.376 3.732 Point 21 4.325 −0.426 4.280 Point 22 4.136 −0.395 3.731 Point 22 4.191 −0.444 4.279 Point 23 4.004 −0.414 3.730 Point 23 4.058 −0.461 4.278 Point 24 3.872 −0.431 3.728 Point 24 3.925 −0.478 4.276 Point 25 3.739 −0.448 3.727 Point 25 3.791 −0.493 4.275 Point 26 3.607 −0.464 3.726 Point 26 3.658 −0.508 4.274 Point 27 3.474 −0.479 3.725 Point 27 3.524 −0.522 4.273 Point 28 3.341 −0.492 3.724 Point 28 3.390 −0.534 4.272 Point 29 3.208 −0.505 3.723 Point 29 3.256 −0.546 4.271 Point 30 3.075 −0.516 3.722 Point 30 3.122 −0.556 4.271 Point 31 2.942 −0.526 3.721 Point 31 2.988 −0.565 4.270 Point 32 2.809 −0.534 3.721 Point 32 2.854 −0.573 4.269 Point 33 2.675 −0.541 3.720 Point 33 2.720 −0.579 4.269 Point 34 2.542 −0.546 3.720 Point 34 2.586 −0.584 4.269 Point 35 2.408 −0.550 3.720 Point 35 2.451 −0.587 4.268 Point 36 2.275 −0.551 3.719 Point 36 2.317 −0.588 4.268 Point 37 2.141 −0.550 3.720 Point 37 2.183 −0.586 4.268 Point 38 2.008 −0.547 3.720 Point 38 2.048 −0.582 4.269 Point 39 1.874 −0.540 3.720 Point 39 1.914 −0.575 4.269 Point 40 1.741 −0.530 3.721 Point 40 1.780 −0.565 4.270 Point 41 1.608 −0.517 3.722 Point 41 1.646 −0.552 4.271 Point 42 1.476 −0.499 3.723 Point 42 1.513 −0.534 4.272 Point 43 1.344 −0.477 3.725 Point 43 1.381 −0.512 4.274 Point 44 1.214 −0.449 3.727 Point 44 1.249 −0.484 4.276 Point 45 1.085 −0.415 3.730 Point 45 1.119 −0.451 4.278 Point 46 0.957 −0.374 3.733 Point 46 0.991 −0.410 4.281 Point 47 0.832 −0.328 3.736 Point 47 0.865 −0.363 4.285 Point 48 0.710 −0.275 3.740 Point 48 0.742 −0.309 4.289 Point 49 0.589 −0.219 3.744 Point 49 0.621 −0.251 4.293 Point 50 0.466 −0.167 3.748 Point 50 0.499 −0.195 4.297 Point 51 0.336 −0.135 3.750 Point 51 0.370 −0.158 4.300 Point 52 0.204 −0.145 3.750 Point 52 0.237 −0.164 4.300 Point 53 0.083 −0.199 3.746 Point 53 0.114 −0.216 4.296 Point 54 −0.014 −0.290 3.739 Point 54 0.015 −0.306 4.289 Point 55 −0.080 −0.406 3.730 Point 55 −0.055 −0.420 4.281 Point 56 −0.124 −0.531 3.721 Point 56 −0.102 −0.545 4.271 Point 57 −0.151 −0.662 3.711 Point 57 −0.131 −0.676 4.262 Point 58 −0.165 −0.794 3.702 Point 58 −0.147 −0.809 4.252 Point 59 −0.167 −0.927 3.692 Point 59 −0.151 −0.943 4.242 Point 60 −0.159 −1.060 3.682 Point 60 −0.144 −1.077 4.232 Point 61 −0.141 −1.192 3.672 Point 61 −0.126 −1.210 4.222 Point 62 −0.112 −1.322 3.662 Point 62 −0.097 −1.340 4.213 Point 63 −0.072 −1.449 3.653 Point 63 −0.057 −1.468 4.203 Point 64 −0.020 −1.572 3.644 Point 64 −0.004 −1.591 4.194 Point 65 0.044 −1.688 3.635 Point 65 0.061 −1.709 4.185 Point 66 0.122 −1.796 3.627 Point 66 0.140 −1.817 4.177 Point 67 0.213 −1.894 3.620 Point 67 0.231 −1.915 4.170 Point 68 0.317 −1.977 3.614 Point 68 0.336 −1.999 4.164 Point 69 0.432 −2.044 3.609 Point 69 0.451 −2.068 4.159 Point 70 0.555 −2.096 3.605 Point 70 0.574 −2.122 4.155 Point 71 0.684 −2.132 3.603 Point 71 0.703 −2.160 4.152 Point 72 0.815 −2.154 3.601 Point 72 0.835 −2.184 4.150 Point 73 0.949 −2.165 3.600 Point 73 0.969 −2.197 4.149 Point 74 1.082 −2.166 3.600 Point 74 1.103 −2.200 4.149 Point 75 1.215 −2.158 3.601 Point 75 1.237 −2.195 4.149 Point 76 1.348 −2.144 3.602 Point 76 1.371 −2.183 4.150 Point 77 1.480 −2.124 3.603 Point 77 1.504 −2.164 4.152 Point 78 1.611 −2.100 3.605 Point 78 1.636 −2.141 4.153 Point 79 1.742 −2.071 3.607 Point 79 1.768 −2.114 4.155 Point 80 1.872 −2.039 3.609 Point 80 1.899 −2.083 4.158 Point 81 2.000 −2.005 3.612 Point 81 2.029 −2.050 4.160 Point 82 2.129 −1.967 3.615 Point 82 2.158 −2.013 4.163 Point 83 2.256 −1.928 3.618 Point 83 2.287 −1.975 4.166 Point 84 2.383 −1.887 3.621 Point 84 2.415 −1.935 4.169 Point 85 2.510 −1.844 3.624 Point 85 2.543 −1.893 4.172 Point 86 2.636 −1.800 3.627 Point 86 2.670 −1.849 4.175 Point 87 2.761 −1.754 3.631 Point 87 2.797 −1.804 4.178 Point 88 2.886 −1.707 3.634 Point 88 2.923 −1.758 4.182 Point 89 3.011 −1.660 3.638 Point 89 3.049 −1.711 4.185 Point 90 3.135 −1.611 3.641 Point 90 3.174 −1.664 4.189 Point 91 3.259 −1.562 3.645 Point 91 3.299 −1.615 4.192 Point 92 3.383 −1.512 3.648 Point 92 3.424 −1.566 4.196 Point 93 3.506 −1.461 3.652 Point 93 3.549 −1.516 4.200 Point 94 3.630 −1.410 3.656 Point 94 3.673 −1.465 4.203 Point 95 3.753 −1.358 3.660 Point 95 3.798 −1.414 4.207 Point 96 3.876 −1.306 3.664 Point 96 3.922 −1.362 4.211 Point 97 3.998 −1.253 3.668 Point 97 4.046 −1.310 4.215 Point 98 4.121 −1.200 3.671 Point 98 4.169 −1.258 4.219 Point 99 4.243 −1.147 3.675 Point 99 4.293 −1.206 4.223 Point 100 4.366 −1.093 3.679 Point 100 4.417 −1.153 4.226 Point 101 4.488 −1.040 3.683 Point 101 4.540 −1.100 4.230 Point 102 4.610 −0.986 3.687 Point 102 4.663 −1.047 4.234 Point 103 4.732 −0.931 3.691 Point 103 4.787 −0.993 4.238 Point 104 4.854 −0.877 3.695 Point 104 4.910 −0.940 4.242 Point 105 4.976 −0.823 3.699 Point 105 5.033 −0.886 4.246 Point 106 5.097 −0.768 3.703 Point 106 5.156 −0.832 4.250 Point 107 5.219 −0.713 3.707 Point 107 5.279 −0.778 4.254 Point 108 5.341 −0.658 3.712 Point 108 5.402 −0.724 4.258 Point 109 5.463 −0.604 3.716 Point 109 5.525 −0.670 4.262 Point 110 5.584 −0.549 3.720 Point 110 5.648 −0.616 4.266 Point 111 5.706 −0.494 3.724 Point 111 5.771 −0.562 4.270 Point 112 5.827 −0.438 3.728 Point 112 5.894 −0.507 4.274 Point 113 5.949 −0.383 3.732 Point 113 6.016 −0.453 4.278 Point 114 6.071 −0.328 3.736 Point 114 6.139 −0.399 4.282 Point 115 6.192 −0.273 3.740 Point 115 6.262 −0.344 4.286 Point 116 6.314 −0.218 3.744 Point 116 6.385 −0.290 4.290 Point 117 6.435 −0.163 3.748 Point 117 6.508 −0.236 4.294 Point 118 6.557 −0.108 3.752 Point 118 6.631 −0.182 4.298 Point 119 6.678 −0.053 3.756 Point 119 6.754 −0.127 4.302 Point 120 6.800 0.002 3.760 Point 120 6.877 −0.073 4.306 Section 11 X Y Z Section 12 X Y Z Point 1 7.010 −0.062 4.859 Point 1 7.086 −0.151 5.404 Point 2 6.904 −0.023 4.862 Point 2 6.980 −0.111 5.407 Point 3 6.773 −0.055 4.859 Point 3 6.848 −0.142 5.404 Point 4 6.641 −0.086 4.857 Point 4 6.715 −0.172 5.402 Point 5 6.510 −0.116 4.855 Point 5 6.582 −0.200 5.400 Point 6 6.377 −0.145 4.853 Point 6 6.449 −0.227 5.398 Point 7 6.245 −0.172 4.851 Point 7 6.316 −0.253 5.396 Point 8 6.113 −0.199 4.849 Point 8 6.182 −0.278 5.394 Point 9 5.980 −0.224 4.847 Point 9 6.048 −0.302 5.392 Point 10 5.847 −0.250 4.845 Point 10 5.914 −0.325 5.391 Point 11 5.714 −0.274 4.843 Point 11 5.780 −0.347 5.389 Point 12 5.581 −0.297 4.841 Point 12 5.646 −0.369 5.387 Point 13 5.448 −0.320 4.840 Point 13 5.512 −0.390 5.386 Point 14 5.315 −0.343 4.838 Point 14 5.377 −0.411 5.384 Point 15 5.182 −0.364 4.836 Point 15 5.243 −0.430 5.383 Point 16 5.048 −0.385 4.835 Point 16 5.108 −0.449 5.382 Point 17 4.914 −0.405 4.833 Point 17 4.974 −0.468 5.380 Point 18 4.781 −0.425 4.832 Point 18 4.839 −0.485 5.379 Point 19 4.647 −0.443 4.830 Point 19 4.704 −0.502 5.378 Point 20 4.513 −0.461 4.829 Point 20 4.569 −0.518 5.376 Point 21 4.379 −0.479 4.828 Point 21 4.434 −0.534 5.375 Point 22 4.245 −0.495 4.827 Point 22 4.299 −0.549 5.374 Point 23 4.111 −0.511 4.825 Point 23 4.164 −0.563 5.373 Point 24 3.976 −0.526 4.824 Point 24 4.028 −0.576 5.372 Point 25 3.842 −0.540 4.823 Point 25 3.893 −0.588 5.371 Point 26 3.708 −0.554 4.822 Point 26 3.758 −0.600 5.370 Point 27 3.573 −0.566 4.821 Point 27 3.622 −0.610 5.370 Point 28 3.438 −0.577 4.821 Point 28 3.487 −0.620 5.369 Point 29 3.304 −0.588 4.820 Point 29 3.351 −0.629 5.368 Point 30 3.169 −0.597 4.819 Point 30 3.215 −0.636 5.368 Point 31 3.034 −0.605 4.819 Point 31 3.079 −0.643 5.367 Point 32 2.899 −0.611 4.818 Point 32 2.944 −0.648 5.367 Point 33 2.764 −0.616 4.818 Point 33 2.808 −0.651 5.367 Point 34 2.629 −0.620 4.817 Point 34 2.672 −0.653 5.366 Point 35 2.494 −0.622 4.817 Point 35 2.536 −0.654 5.366 Point 36 2.359 −0.622 4.817 Point 36 2.400 −0.653 5.366 Point 37 2.224 −0.620 4.817 Point 37 2.264 −0.649 5.367 Point 38 2.089 −0.615 4.818 Point 38 2.128 −0.643 5.367 Point 39 1.954 −0.608 4.818 Point 39 1.993 −0.635 5.368 Point 40 1.819 −0.597 4.819 Point 40 1.857 −0.624 5.369 Point 41 1.685 −0.583 4.820 Point 41 1.722 −0.609 5.370 Point 42 1.551 −0.566 4.821 Point 42 1.587 −0.591 5.371 Point 43 1.417 −0.543 4.823 Point 43 1.453 −0.568 5.373 Point 44 1.285 −0.516 4.825 Point 44 1.320 −0.541 5.375 Point 45 1.154 −0.483 4.828 Point 45 1.189 −0.507 5.377 Point 46 1.025 −0.443 4.831 Point 46 1.059 −0.468 5.380 Point 47 0.899 −0.396 4.834 Point 47 0.931 −0.421 5.384 Point 48 0.775 −0.341 4.838 Point 48 0.806 −0.368 5.388 Point 49 0.653 −0.282 4.842 Point 49 0.684 −0.309 5.392 Point 50 0.531 −0.224 4.847 Point 50 0.560 −0.251 5.396 Point 51 0.403 −0.183 4.850 Point 51 0.431 −0.211 5.399 Point 52 0.269 −0.186 4.849 Point 52 0.296 −0.216 5.399 Point 53 0.145 −0.238 4.846 Point 53 0.172 −0.270 5.395 Point 54 0.045 −0.327 4.839 Point 54 0.073 −0.362 5.388 Point 55 −0.027 −0.441 4.831 Point 55 0.001 −0.476 5.380 Point 56 −0.077 −0.566 4.821 Point 56 −0.052 −0.601 5.370 Point 57 −0.110 −0.697 4.812 Point 57 −0.088 −0.732 5.361 Point 58 −0.129 −0.830 4.802 Point 58 −0.110 −0.866 5.351 Point 59 −0.136 −0.965 4.792 Point 59 −0.120 −1.001 5.341 Point 60 −0.131 −1.100 4.782 Point 60 −0.117 −1.136 5.331 Point 61 −0.114 −1.233 4.772 Point 61 −0.102 −1.271 5.321 Point 62 −0.085 −1.365 4.762 Point 62 −0.074 −1.404 5.311 Point 63 −0.045 −1.493 4.753 Point 63 −0.034 −1.533 5.301 Point 64 0.008 −1.617 4.744 Point 64 0.019 −1.658 5.292 Point 65 0.075 −1.735 4.735 Point 65 0.086 −1.775 5.283 Point 66 0.154 −1.843 4.727 Point 66 0.167 −1.884 5.275 Point 67 0.247 −1.941 4.720 Point 67 0.261 −1.982 5.268 Point 68 0.353 −2.025 4.713 Point 68 0.368 −2.066 5.262 Point 69 0.468 −2.095 4.708 Point 69 0.485 −2.135 5.257 Point 70 0.592 −2.150 4.704 Point 70 0.609 −2.190 5.253 Point 71 0.721 −2.189 4.701 Point 71 0.739 −2.230 5.250 Point 72 0.853 −2.216 4.699 Point 72 0.872 −2.257 5.248 Point 73 0.987 −2.230 4.698 Point 73 1.007 −2.273 5.247 Point 74 1.122 −2.235 4.698 Point 74 1.142 −2.279 5.246 Point 75 1.257 −2.232 4.698 Point 75 1.278 −2.276 5.246 Point 76 1.392 −2.221 4.699 Point 76 1.414 −2.267 5.247 Point 77 1.526 −2.204 4.700 Point 77 1.549 −2.251 5.248 Point 78 1.660 −2.183 4.702 Point 78 1.683 −2.231 5.250 Point 79 1.792 −2.157 4.704 Point 79 1.817 −2.206 5.252 Point 80 1.924 −2.128 4.706 Point 80 1.950 −2.178 5.254 Point 81 2.055 −2.095 4.708 Point 81 2.082 −2.146 5.256 Point 82 2.186 −2.060 4.711 Point 82 2.214 −2.112 5.259 Point 83 2.316 −2.023 4.714 Point 83 2.345 −2.076 5.261 Point 84 2.445 −1.984 4.717 Point 84 2.475 −2.038 5.264 Point 85 2.574 −1.943 4.720 Point 85 2.605 −1.998 5.267 Point 86 2.702 −1.900 4.723 Point 86 2.734 −1.956 5.270 Point 87 2.830 −1.856 4.726 Point 87 2.863 −1.913 5.273 Point 88 2.957 −1.811 4.729 Point 88 2.992 −1.869 5.277 Point 89 3.084 −1.765 4.733 Point 89 3.120 −1.824 5.280 Point 90 3.211 −1.719 4.736 Point 90 3.248 −1.778 5.283 Point 91 3.337 −1.671 4.740 Point 91 3.376 −1.732 5.287 Point 92 3.463 −1.622 4.743 Point 92 3.503 −1.684 5.290 Point 93 3.589 −1.573 4.747 Point 93 3.630 −1.636 5.294 Point 94 3.715 −1.524 4.751 Point 94 3.757 −1.587 5.297 Point 95 3.840 −1.473 4.754 Point 95 3.883 −1.538 5.301 Point 96 3.965 −1.423 4.758 Point 96 4.010 −1.488 5.305 Point 97 4.090 −1.372 4.762 Point 97 4.136 −1.438 5.308 Point 98 4.215 −1.321 4.766 Point 98 4.262 −1.388 5.312 Point 99 4.340 −1.269 4.769 Point 99 4.389 −1.337 5.316 Point 100 4.465 −1.217 4.773 Point 100 4.515 −1.287 5.320 Point 101 4.589 −1.165 4.777 Point 101 4.640 −1.236 5.323 Point 102 4.714 −1.113 4.781 Point 102 4.766 −1.184 5.327 Point 103 4.838 −1.060 4.785 Point 103 4.892 −1.133 5.331 Point 104 4.963 −1.008 4.789 Point 104 5.018 −1.081 5.335 Point 105 5.087 −0.955 4.793 Point 105 5.143 −1.029 5.339 Point 106 5.211 −0.902 4.797 Point 106 5.269 −0.978 5.342 Point 107 5.336 −0.849 4.800 Point 107 5.395 −0.926 5.346 Point 108 5.460 −0.796 4.804 Point 108 5.520 −0.874 5.350 Point 109 5.584 −0.743 4.808 Point 109 5.646 −0.822 5.354 Point 110 5.708 −0.690 4.812 Point 110 5.771 −0.770 5.358 Point 111 5.832 −0.637 4.816 Point 111 5.896 −0.717 5.362 Point 112 5.957 −0.584 4.820 Point 112 6.022 −0.665 5.366 Point 113 6.081 −0.530 4.824 Point 113 6.147 −0.613 5.369 Point 114 6.205 −0.477 4.828 Point 114 6.273 −0.561 5.373 Point 115 6.329 −0.424 4.832 Point 115 6.398 −0.508 5.377 Point 116 6.453 −0.370 4.836 Point 116 6.524 −0.456 5.381 Point 117 6.577 −0.317 4.840 Point 117 6.649 −0.404 5.385 Point 118 6.701 −0.264 4.844 Point 118 6.774 −0.352 5.389 Point 119 6.825 −0.211 4.848 Point 119 6.900 −0.299 5.393 Point 120 6.950 −0.157 4.852 Point 120 7.025 −0.247 5.396

Referring to FIG. 6 , the airfoil core 1330 having an airfoil-shaped cross section includes a leading edge 1350, a trailing edge 1352, a pressure side 1360, a suction side 1362, and a partition 1370 to define a cooling path along which cooling fluid flows. In addition to the airfoil core profile shape, the X, Y, and Z coordinates also define the partition profile 1370. For example, the partition profile 1370 may be configured for impingement tube insertability as well as casting producibility.

FIG. 7 is an outer envelope of a nominal profile of the airfoil core 1330 according to an exemplary embodiment. The X, Y, and Z values listed in Table 1 illustrate ideal point location for each point of each section of airfoil core 1330. However, there exist variations from the ideal point location attributed to manufacturing tolerances and the like which should be taken into account. Therefore, a design envelope is established which sets forth an acceptable outer boundary or distance from a nominal profile 1400 for each section. Accordingly, it is understood that each X, Y, and Z point may include a tolerance or +/− value. A tolerance 1410 may be, for example, +/−0.120 inches in the formation of airfoil core 1330. For example, the tolerance 1410 includes an upper limit 1420 defined as a 0.120-inch deviation from nominal profile 1400 and a lower limit 1425 defined as a −0.120-inch variation from nominal profile 1400. The design envelope or tolerance 1410 is robust such that these variations do not impair mechanical and aerodynamic performance of the turbine nozzle 1320.

While one or more exemplary embodiments have been described with reference to the accompanying drawings, it is to be understood by those skilled in the art that various modifications and changes in form and details can be made therein without departing from the spirit and scope as defined by the appended claims. Therefore, the description of the exemplary embodiments should be construed in a descriptive sense only and not to limit the scope of the claims, and many alternatives, modifications, and variations will be apparent to those skilled in the art. 

1. A turbine nozzle comprising: an airfoil core having an uncoated nominal profile in accordance with, within a predetermined envelope with values of +/−0.120 inches, Cartesian coordinate values of X, Y, and Z set forth in Table 1, wherein the X, Y, and Z coordinates are distances in inches measured in a Cartesian coordinate system under a non-rotating state of the turbine nozzle, wherein, at each Z distance, the corresponding X and Y coordinates, when connected by a smooth continuous arc, define one of a plurality of airfoil core profile sections, wherein the plurality of airfoil core profile sections, when joined together by smooth continuous arcs, define an airfoil core shape, and wherein the airfoil core includes a pressure side, a suction side, and a partition extending between the pressure side and the suction side to define a cooling path along which cooling fluid flows.
 2. The turbine nozzle according to claim 1, wherein the predetermined envelope is measured in a direction normal to any of the plurality of airfoil core profile sections and the airfoil core shape lies within the predetermined envelope.
 3. (canceled)
 4. The turbine nozzle according to claim 1, wherein the airfoil core includes a core shape for a first stage turbine nozzle.
 5. The turbine nozzle according to claim 1, further comprising a coating applied to the airfoil core shape, the coating having a thickness of less than or equal to 0.010 inches.
 6. A turbine comprising: a turbine nozzle including an airfoil core that extends from a platform to an end wall, wherein the airfoil core whose cross-sectional shape is an airfoil-shape has a leading edge, a trailing edge, and a pressure side and a suction side each of which extends from the leading edge to the trailing edge, and has an uncoated nominal profile in accordance with, within a predetermined envelope with values of +/−0.120 inches, Cartesian coordinate values of X, Y, and Z set forth in Table 1, wherein the X, Y, and Z coordinates are distances in inches measured in a Cartesian coordinate system under a non-rotating state of the turbine nozzle, wherein, at each Z distance, the corresponding X and Y coordinates, when connected by a smooth continuous arc, define one of a plurality of airfoil core profile sections, wherein the plurality of airfoil core profile sections, when joined together by smooth continuous arcs, define an airfoil core shape, and wherein the airfoil core includes a partition extending between the pressure side and the suction side to define a cooling path along which cooling fluid flows.
 7. The turbine according to claim 6, wherein the predetermined envelope is measured in a direction normal to any of the plurality of airfoil core profile sections and the airfoil core shape lies within the predetermined envelope.
 8. (canceled)
 9. The turbine according to claim 6, wherein the airfoil core includes a core shape for a first stage turbine nozzle.
 10. The turbine according to claim 6, further comprising a coating applied to the airfoil core shape, the coating having a thickness of less than or equal to 0.010 inches.
 11. A gas turbine comprising: a compressor configured to compress air; a combustor configured to mix compressed air supplied from the compressor with fuel for combustion to generate combustion gas; and a turbine comprising a plurality of turbine nozzles and a plurality of turbine blades rotated by the combustion gas to generate power, wherein each of the turbine nozzles includes an airfoil core that extends from a platform to an end wall, wherein the airfoil core whose cross-sectional shape is an airfoil-shape has a leading edge, a trailing edge, and a pressure side and a suction side each of which extends from the leading edge to the trailing edge, and has an uncoated nominal profile in accordance with, within a predetermined envelope with values of +/−0.120 inches Cartesian coordinate values of X, Y and Z set forth in Table 1, wherein the X, Y, and Z coordinates are distances in inches measured in a Cartesian coordinate system under a non-rotating state of the turbine nozzles, wherein, at each Z distance, the corresponding X and Y coordinates, when connected by a smooth continuous arc, define one of a plurality of airfoil core profile sections, wherein the plurality of airfoil core profile sections, when joined together by smooth continuous arcs, define an airfoil core shape, and wherein the airfoil core includes a partition extending between the pressure side and the suction side to define a cooling path along which cooling fluid flows.
 12. The gas turbine according to claim 11, wherein the predetermined envelope is measured in a direction normal to any of the plurality of airfoil core profile sections and the airfoil core shape lies within the predetermined envelope.
 13. (canceled)
 14. The gas turbine according to claim 11, further comprising a coating applied to the airfoil core shape, the coating having a thickness of less than or equal to 0.010 inches.
 15. The gas turbine according to claim 11, wherein the airfoil core includes a core shape for a first stage turbine nozzle. 